There have been a number of posts lately concerning NaOH/HCl and NaOH/HAc (acetic acid--my abbreviation). However, in all cases, moles NaOH are less than moles HAc and an acetic/acetate buffer is created which behave markedly different than the solution you posted.
I don't see anything wrong with your HCl/NaOH work except that 12.20 mL + 8.00 mL = 20.2 mL (0.0202 L and not 0.020 L). That small difference doesn't change the pOH or the pH.
For the NaOH/HAc part, I think the pH is the same. I looked at the OH^- contribution from the hydrolysis of the Ac^- and it is negligible if I didn't make a mistake in my arithmetic. The second part of the problem is a little confusing to me, too, but I think for different reasons. For the NaOH/HCl portion, you have 0.42 millimoles in 120.2 mL = (OH^-) and you can go from there to pOH and pH. The NaOH/HAc part would be the same thing.
What confuses me? I have worked several problems in the last week or so worded almost the same BUT the NaOH/HAc portions has ALWAYS had less NaOH than HAc which forms a buffer solution of HAc/Ac^- and the part about adding 100 mL as a dilution is easy to answer for that. That idea is that the HCl is changed markedly whereas the HAc/Ac^- is not changed at all with dilution. I wonder if somehow these volumes have become interchanged. For example, one I did yesterday had 2.4 mL NaOH + 8.00 HAc (which makes the buffered solution very well). If you find that the NaOH/HAc is NOT the same, I would appreciate you posting it (and if it is different, why is it different).

The basic problem here is that you are trying to use the Henderson-Hasselbalch buffer equation to solve a problem that is not a buffer. Your solution is not a buffered solution problem. There is an excess of NaOH when reacted with HCl and the pH is determined by the excess OH for pH = 12.32. The reaction between NaOH and HAc (I use HAc because it's easier to type than HC2H3O2) again is between more NaOH than HAc; therefore, all of the HAc is used and there is an excess of NaOH. Again, this provides a pH of about 12 something. It is NOT a buffer. There is acetate ion but there is no acetic acid. All of the acetic acid was neutralized by the more than enough NaOH. See the link I gave above for a problem that has some NaOH but enough HAc to provide an excess of HAc. Under those conditions there is a buffer present and the HH equation applies. The HH equation has a base and an acid (in the Bronsted-Lowry sense). In the HAc/Ac^- system, the Ac^- is the base and the HAc is the acid. You have Ac^- and the concn can be calculated but you do NOT have any acid present (no HAc). Instead, you have NaOH and that is what is determining the pH of the solution.

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